Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 6: Q. 88 (page 381)

Find the exact value of: $T a n 40 掳 + T a n 140 掳$

Short Answer

Expert verified

The value of $T a n 40 掳 + T a n 140 掳 = 0$

Step by step solution

Step 1. Given information

The given value is $T a n 40 掳 + T a n 140 掳$

Step 2. Sketch the angle of 40°

Sketch the angle of $40 掳$

Step 3. Sketch the angle of 140°

The sketch of $140 掳$

Step 4. Finding the value of Tan 40°+Tan 140°

The reference angle for $胃$ is the acute angle formed by the terminal side of $胃$ and the x-axis.We note that for the angle $40 掳$ the angle formed with the x-axis is $40 掳$

thus,the reference angle $40 掳 a n d 140 掳 i s 40 掳$

we note that the angle $40 掳$ lies in quadrant I where the values of the tangent function is positive and $140 掳$ lies is in quadrant II,Where the values of the tangent function is negative.

Replace $\tan 140 掳$ with $- \tan 40 掳$ in the given expression

$\tan 40 掳 + \tan 140 掳 = \tan 40 掳 - \tan 40 掳 = 0$

Therefore,the given expression is evaluates 0

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91影视

Find the exact value of: $T a n 40 掳 + T a n 140 掳$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Sketch the angle of 40°

Step 3. Sketch the angle of 140°

Step 4. Finding the value of Tan 40°+Tan 140°

One App. One Place for Learning.

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91影视

Find the exact value of:Tan40掳+Tan140掳

Short Answer

Step by step solution

Step 1. Given information

Step 2. Sketch the angle of 40°

Step 3. Sketch the angle of 140°

Step 4. Finding the value of Tan 40°+Tan 140°

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Probability and Statistics

Statistics

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the exact value of: $T a n 40 掳 + T a n 140 掳$